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Finding the Fourth Proportional to 42,437.84, 63,655.14 and 14,360

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Solution

The fourth proportional to 42,437.84, 63,655.14 and 14,360 is: 21,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,437.84 : 63,655.14 = 14,360 : x
  2. Step 2: Convert to fraction form
    42,437.84/63,655.14 = 14,360/x
  3. Step 3: Cross multiply
    42,437.84x = 63,655.14 × 14,360
  4. Step 4: Simplify right side
    42,437.84x = 914,087,810.40
  5. Step 5: Solve for x
    x = 914,087,810.40/42,437.84
  6. Step 6: Final answer
    x = 21,539.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.